A smooth wire is bent into a vertical circle of radius a . A bead P can slide smoothly on the wire. The circle is rotated about vertical diameter AB as axis with a constant speed $ω$ as shown in figure. The bead P is at rest w.r.t. the wire in the position shown. Then $ω^{2}$ is equal to :

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​ N cos θ = m ω 2 ( 2 a ​ ) ​ N sin θ = m g ​ ​ ​ tan θ = 3 ​ ⇒ w = a 3 ​ 2 g ​

Physics - Circular Motion Question with Solution | TestHub

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